102946068 has 72 divisors (see below), whose sum is σ = 274450176. Its totient is φ = 32472000.

The previous prime is 102946057. The next prime is 102946079. The reversal of 102946068 is 860649201.

It is an interprime number because it is at equal distance from previous prime (102946057) and next prime (102946079).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83013 + ... + 84243.

It is an arithmetic number, because the mean of its divisors is an integer number (3811808).

Almost surely, 2^102946068 is an apocalyptic number.

102946068 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102946068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137225088).

102946068 is an abundant number, since it is smaller than the sum of its proper divisors (171504108).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102946068 is a wasteful number, since it uses less digits than its factorization.

102946068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 102946068 is about 10146.2341782555. The cubic root of 102946068 is about 468.6729853207.

The spelling of 102946068 in words is "one hundred two million, nine hundred forty-six thousand, sixty-eight".